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Finding the Fourth Proportional to 13,931.65, 20,901.84 and 4,071.16

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Solution

The fourth proportional to 13,931.65, 20,901.84 and 4,071.16 is: 6,108.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,931.65 : 20,901.84 = 4,071.16 : x
  2. Step 2: Convert to fraction form
    13,931.65/20,901.84 = 4,071.16/x
  3. Step 3: Cross multiply
    13,931.65x = 20,901.84 × 4,071.16
  4. Step 4: Simplify right side
    13,931.65x = 85,094,734.93
  5. Step 5: Solve for x
    x = 85,094,734.93/13,931.65
  6. Step 6: Final answer
    x = 6,108.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.